A wire is bent in the shape of a right angled triangle and is placed in front of a concave mirror of focal length f,as shown in the figure which of the figures shown in the four options qualitatively represents (s) the shape of the image of the bent wire ? (These figures are not to scale)

Options

A.
B.
C.
D.

Answer

D

Explanation

Let ABF be the right-angled triangle as shown in the following figure :

Side AB is at a distance `f//2` from the concave mirror.
`(1)/(v)+(1)/(u)=(1)/(f)`
`rArr" "(1)/(v)+(1)/(-f//2)=(1)/(-f)`
`rArr" "(1)/(v)=(2)/(f)-(1)/(f)=(1)/(f)rArr v=f`
It is virtual image of double size behind the mirror as shown by A.B. in the following diagram:

Point F is kept at focus, hence its image is formed at infinity. Hence option (d) is correct.